About

This notebook explores the more recent data from NYC Open Data Data Set.

This dataset can also be reached and interacted with through its Google BigQuery location

Exercise Overview

For this exercise, we’d like you to analyze data on New York motor vehicle collisions and answer the following question:
What are your ideas for reducing accidents in Brooklyn?
Imagine you are preparing this presentation for the city council who will use it to inform new legislation and/or projects.

TODO

Briefly:

  1. Inspect dataset
  2. Identify dependent / outcome variables
  3. iterate over:
    1. hypothesize predictor variables
    2. test
    3. document & consider results
  • Setup
    • [ ] Libraries (continual)
    • [x] data
  • Understand
    • [x] structure
    • [x] summary
    • [ ] identify dependent variables

Setup

Load Libraries

Libraries that will be used during exploration

library(plotly)
Loading required package: ggplot2
Use suppressPackageStartupMessages() to eliminate package startup messages.

Attaching package: ‘plotly’

The following object is masked from ‘package:ggplot2’:

    last_plot

The following object is masked from ‘package:stats’:

    filter

The following object is masked from ‘package:graphics’:

    layout

Load Data

Load data from /data directory and into memory

dt <- read.csv(file = "data/NYPD_Motor_Vehicle_Collisions.csv")

Undertand Dataset

Dataset Structure

Inspect structure of dataset with the str() command:

str(dt)
'data.frame':   990800 obs. of  29 variables:
 $ DATE                         : Factor w/ 1709 levels "01/01/2013","01/01/2014",..: 200 200 200 200 1068 920 611 200 65 65 ...
 $ TIME                         : Factor w/ 1440 levels "0:00","0:01",..: 556 631 632 644 661 936 46 686 1051 1066 ...
 $ BOROUGH                      : Factor w/ 6 levels "","BRONX","BROOKLYN",..: 1 2 2 3 1 1 1 1 3 3 ...
 $ ZIP.CODE                     : int  NA 10454 10466 11218 NA NA NA NA 11218 11236 ...
 $ LATITUDE                     : num  40.7 40.8 40.9 40.6 40.7 ...
 $ LONGITUDE                    : num  -73.9 -73.9 -73.9 -74 -73.9 ...
 $ LOCATION                     : Factor w/ 90272 levels "","(0.0, 0.0)",..: 28545 73165 89328 17808 52600 1 1 14824 17763 18379 ...
 $ ON.STREET.NAME               : Factor w/ 9151 levels "","?EST 125 STREET",..: 1420 1 3493 1 1 1 6598 4069 738 7071 ...
 $ CROSS.STREET.NAME            : Factor w/ 9585 levels "","0","01247",..: 1 1 9364 1 1 1 7399 3638 114 4201 ...
 $ OFF.STREET.NAME              : Factor w/ 59908 levels "","(26 BROOKLYN TERMINAL MARKET LOT)",..: 1 38225 1 29898 1 1 1 1 1 1 ...
 $ NUMBER.OF.PERSONS.INJURED    : int  0 0 1 0 0 0 0 0 1 2 ...
 $ NUMBER.OF.PERSONS.KILLED     : int  0 0 0 0 0 0 0 0 0 0 ...
 $ NUMBER.OF.PEDESTRIANS.INJURED: int  0 0 1 0 0 0 0 0 0 0 ...
 $ NUMBER.OF.PEDESTRIANS.KILLED : int  0 0 0 0 0 0 0 0 0 0 ...
 $ NUMBER.OF.CYCLIST.INJURED    : int  0 0 0 0 0 0 0 0 0 0 ...
 $ NUMBER.OF.CYCLIST.KILLED     : int  0 0 0 0 0 0 0 0 0 0 ...
 $ NUMBER.OF.MOTORIST.INJURED   : int  0 0 0 0 0 0 0 0 1 2 ...
 $ NUMBER.OF.MOTORIST.KILLED    : int  0 0 0 0 0 0 0 0 0 0 ...
 $ CONTRIBUTING.FACTOR.VEHICLE.1: Factor w/ 49 levels "","Accelerator Defective",..: 10 47 47 47 47 11 1 43 43 43 ...
 $ CONTRIBUTING.FACTOR.VEHICLE.2: Factor w/ 49 levels "","Accelerator Defective",..: 47 1 1 47 47 47 1 47 47 47 ...
 $ CONTRIBUTING.FACTOR.VEHICLE.3: Factor w/ 43 levels "","Accelerator Defective",..: 1 1 1 1 1 1 1 1 42 1 ...
 $ CONTRIBUTING.FACTOR.VEHICLE.4: Factor w/ 42 levels "","Accelerator Defective",..: 1 1 1 1 1 1 1 1 1 1 ...
 $ CONTRIBUTING.FACTOR.VEHICLE.5: Factor w/ 31 levels "","Aggressive Driving/Road Rage",..: 1 1 1 1 1 1 1 1 1 1 ...
 $ UNIQUE.KEY                   : int  3612721 3612791 3618743 3614471 3284922 2833714 336679 3618925 3598095 3597360 ...
 $ VEHICLE.TYPE.CODE.1          : Factor w/ 18 levels "","AMBULANCE",..: 15 10 12 15 10 10 1 10 10 15 ...
 $ VEHICLE.TYPE.CODE.2          : Factor w/ 18 levels "","AMBULANCE",..: 10 1 1 10 16 10 1 10 10 15 ...
 $ VEHICLE.TYPE.CODE.3          : Factor w/ 18 levels "","AMBULANCE",..: 1 1 1 1 1 1 1 1 15 1 ...
 $ VEHICLE.TYPE.CODE.4          : Factor w/ 18 levels "","AMBULANCE",..: 1 1 1 1 1 1 1 1 1 1 ...
 $ VEHICLE.TYPE.CODE.5          : Factor w/ 16 levels "","AMBULANCE",..: 1 1 1 1 1 1 1 1 1 1 ...

Dataset Summary

Inspect summary of dataset with summary() command:

summary(dt)
         DATE             TIME                 BOROUGH          ZIP.CODE     
 01/21/2014:  1161   16:00  : 12792                :260725   Min.   :10000   
 01/18/2015:   960   15:00  : 12748   BRONX        : 95396   1st Qu.:10075   
 02/03/2014:   960   17:00  : 12597   BROOKLYN     :223552   Median :11205   
 03/06/2015:   936   18:00  : 11641   MANHATTAN    :187571   Mean   :10808   
 01/07/2017:   887   14:00  : 11094   QUEENS       :189619   3rd Qu.:11236   
 09/30/2016:   872   13:00  : 10365   STATEN ISLAND: 33937   Max.   :11697   
 (Other)   :985024   (Other):919563                          NA's   :260826  
    LATITUDE        LONGITUDE                            LOCATION     
 Min.   : 0.00    Min.   :-201.36                            :201443  
 1st Qu.:40.67    1st Qu.: -73.98   (40.6960346, -73.9845292):   673  
 Median :40.72    Median : -73.93   (40.7606005, -73.9643142):   544  
 Mean   :40.72    Mean   : -73.92   (40.7572323, -73.9897922):   485  
 3rd Qu.:40.77    3rd Qu.: -73.87   (40.6757357, -73.8968533):   480  
 Max.   :40.91    Max.   :   0.00   (40.6585778, -73.8906229):   464  
 NA's   :201443   NA's   :201443    (Other)                  :786711  
            ON.STREET.NAME   CROSS.STREET.NAME
                   :188246           :217648  
 BROADWAY          : 10832   3 AVENUE: 11407  
 ATLANTIC AVENUE   :  9354   BROADWAY: 11088  
 NORTHERN BOULEVARD:  7490   2 AVENUE:  9678  
 3 AVENUE          :  6864   5 AVENUE:  7846  
 FLATBUSH AVENUE   :  6500   7 AVENUE:  7312  
 (Other)           :761514   (Other) :725821  
                                 OFF.STREET.NAME   NUMBER.OF.PERSONS.INJURED
                                         :916764   Min.   : 0.0000          
 PARKING LOT 110-00 ROCKAWAY BOULEVARD   :   150   1st Qu.: 0.0000          
 PARKING LOT-772 EDGEWATER RD            :    91   Median : 0.0000          
 PARKING LOT OF 110-00 ROCKAWAY BOULEVARD:    90   Mean   : 0.2552          
 3 AVENUE                                :    72   3rd Qu.: 0.0000          
 2 AVENUE                                :    67   Max.   :43.0000          
 (Other)                                 : 73566                            
 NUMBER.OF.PERSONS.KILLED NUMBER.OF.PEDESTRIANS.INJURED
 Min.   :0.000000         Min.   : 0.00000             
 1st Qu.:0.000000         1st Qu.: 0.00000             
 Median :0.000000         Median : 0.00000             
 Mean   :0.001214         Mean   : 0.05455             
 3rd Qu.:0.000000         3rd Qu.: 0.00000             
 Max.   :5.000000         Max.   :15.00000             
                                                       
 NUMBER.OF.PEDESTRIANS.KILLED NUMBER.OF.CYCLIST.INJURED
 Min.   :0.0000000            Min.   :0.00000          
 1st Qu.:0.0000000            1st Qu.:0.00000          
 Median :0.0000000            Median :0.00000          
 Mean   :0.0006833            Mean   :0.02093          
 3rd Qu.:0.0000000            3rd Qu.:0.00000          
 Max.   :2.0000000            Max.   :6.00000          
                                                       
 NUMBER.OF.CYCLIST.KILLED NUMBER.OF.MOTORIST.INJURED
 Min.   :0.00e+00         Min.   : 0.0000           
 1st Qu.:0.00e+00         1st Qu.: 0.0000           
 Median :0.00e+00         Median : 0.0000           
 Mean   :7.47e-05         Mean   : 0.1927           
 3rd Qu.:0.00e+00         3rd Qu.: 0.0000           
 Max.   :1.00e+00         Max.   :43.0000           
                                                    
 NUMBER.OF.MOTORIST.KILLED                CONTRIBUTING.FACTOR.VEHICLE.1
 Min.   :0.000000          Unspecified                   :523736       
 1st Qu.:0.000000          Driver Inattention/Distraction:127688       
 Median :0.000000          Fatigued/Drowsy               : 48249       
 Mean   :0.000463          Failure to Yield Right-of-Way : 42948       
 3rd Qu.:0.000000          Other Vehicular               : 30393       
 Max.   :5.000000          Backing Unsafely              : 27886       
                           (Other)                       :189900       
                CONTRIBUTING.FACTOR.VEHICLE.2
 Unspecified                   :738985       
                               :123724       
 Driver Inattention/Distraction: 37843       
 Other Vehicular               : 17711       
 Fatigued/Drowsy               : 13016       
 Failure to Yield Right-of-Way :  9087       
 (Other)                       : 50434       
                CONTRIBUTING.FACTOR.VEHICLE.3
                               :925696       
 Unspecified                   : 59537       
 Other Vehicular               :  1225       
 Fatigued/Drowsy               :  1122       
 Driver Inattention/Distraction:  1100       
 Pavement Slippery             :   234       
 (Other)                       :  1886       
                CONTRIBUTING.FACTOR.VEHICLE.4
                               :976717       
 Unspecified                   : 12938       
 Fatigued/Drowsy               :   222       
 Other Vehicular               :   221       
 Driver Inattention/Distraction:   192       
 Pavement Slippery             :    67       
 (Other)                       :   443       
                CONTRIBUTING.FACTOR.VEHICLE.5   UNIQUE.KEY     
                               :987360        Min.   :     22  
 Unspecified                   :  3186        1st Qu.: 249509  
 Other Vehicular               :    52        Median :3131520  
 Fatigued/Drowsy               :    48        Mean   :2054070  
 Driver Inattention/Distraction:    36        3rd Qu.:3379220  
 Pavement Slippery             :    23        Max.   :3627969  
 (Other)                       :    95                         
                    VEHICLE.TYPE.CODE.1
 PASSENGER VEHICLE            :579372  
 SPORT UTILITY / STATION WAGON:218537  
 TAXI                         : 37190  
 VAN                          : 26511  
 OTHER                        : 24699  
 UNKNOWN                      : 20713  
 (Other)                      : 83778  
                    VEHICLE.TYPE.CODE.2
 PASSENGER VEHICLE            :438701  
 SPORT UTILITY / STATION WAGON:165455  
                              :134997  
 UNKNOWN                      : 80864  
 TAXI                         : 31205  
 OTHER                        : 25249  
 (Other)                      :114329  
                    VEHICLE.TYPE.CODE.3
                              :926878  
 PASSENGER VEHICLE            : 38181  
 SPORT UTILITY / STATION WAGON: 15761  
 UNKNOWN                      :  3240  
 VAN                          :  1401  
 TAXI                         :  1163  
 (Other)                      :  4176  
                    VEHICLE.TYPE.CODE.4
                              :977085  
 PASSENGER VEHICLE            :  8441  
 SPORT UTILITY / STATION WAGON:  3553  
 UNKNOWN                      :   583  
 VAN                          :   248  
 OTHER                        :   205  
 (Other)                      :   685  
                    VEHICLE.TYPE.CODE.5
                              :987436  
 PASSENGER VEHICLE            :  2072  
 SPORT UTILITY / STATION WAGON:   958  
 UNKNOWN                      :    94  
 OTHER                        :    52  
 VAN                          :    50  
 (Other)                      :   138  

Dataset Variables

Our Dataset structure revealed the variables and their classes sapply(names(dt), function(x) paste0(x, ' is class: ', class(dt[[x]])))=
DATE is class: factor,
TIME is class: factor,
BOROUGH is class: factor,
ZIP.CODE is class: integer,
LATITUDE is class: numeric,
LONGITUDE is class: numeric,
LOCATION is class: factor,
ON.STREET.NAME is class: factor,
CROSS.STREET.NAME is class: factor,
OFF.STREET.NAME is class: factor,
NUMBER.OF.PERSONS.INJURED is class: integer,
NUMBER.OF.PERSONS.KILLED is class: integer,
NUMBER.OF.PEDESTRIANS.INJURED is class: integer,
NUMBER.OF.PEDESTRIANS.KILLED is class: integer,
NUMBER.OF.CYCLIST.INJURED is class: integer,
NUMBER.OF.CYCLIST.KILLED is class: integer,
NUMBER.OF.MOTORIST.INJURED is class: integer,
NUMBER.OF.MOTORIST.KILLED is class: integer,
CONTRIBUTING.FACTOR.VEHICLE.1 is class: factor,
CONTRIBUTING.FACTOR.VEHICLE.2 is class: factor,
CONTRIBUTING.FACTOR.VEHICLE.3 is class: factor,
CONTRIBUTING.FACTOR.VEHICLE.4 is class: factor,
CONTRIBUTING.FACTOR.VEHICLE.5 is class: factor,
UNIQUE.KEY is class: integer,
VEHICLE.TYPE.CODE.1 is class: factor,
VEHICLE.TYPE.CODE.2 is class: factor,
VEHICLE.TYPE.CODE.3 is class: factor,
VEHICLE.TYPE.CODE.4 is class: factor,
VEHICLE.TYPE.CODE.5 is class: factor

Clean Data

Change Unmarked Boroughs from NA to “NONE GIVEN”

Map Variables

With Latitude and Longitude present and appearing to be fairly well documented, let’s take a quick look at how these accidents look over an interactive world map (incase of mistakes outlying somewhere aside from New York). We will use the BOROUGH variable as a factor. This gives the geographic association of each borough and allows us early forsight into anything specific about our point of interest BOURGH == "BROOKLYN"

mp <- dt %>% plot_mapbox(lat = ~LATITUDE, lon = ~LONGITUDE, split = ~BOROUGH, mode = 'scattermapbox')
plotly_build(mp)
Ignoring 201443 observations

Here we can see at least one marked as BOROUGH == "QUEENS" sitting on the equator at lat, long (0,0). It is safe to assume that observation along with others in the Atlantic or Pacific Ocean and anywhere else outside of New York have mislabeled coordinates.
These would be candidates for quick removal to save time, or cleaning if coordinate location was important enough on these observations to our intended results.

Understanding Conclusion

With a goal of reducing accidents in Brooklyn our main goal is to reduce observations of accidents where BOROUGH == "BROOKLYN".

Proposed Solutions:

  • Explore facets of variables
    • Datetime
      • Time of day
      • Day of week
      • Day of month
      • Day or Month of year
  • Explore trends group_by
    • Across time
    • Across space
      • Burrough
      • Zip
      • Street Name (On, Cross, Off)
    • Across Vehicle Type

1. Subset: If we look at the subset of the dataset where BOROUGH is “BROOKLYN” brooklyn <- filter(dt, BOROUGH == "BROOKLYN") we want to find patterns in the existing observations and propose methods to eliminate these patterns.

  • There are length(levels(dt$BOROUGH)): 6 levels in the factor variable BOROUGH
  • Including levels(dt$BOROUGH): NONE GIVEN, BRONX, BROOKLYN, MANHATTAN, QUEENS, STATEN ISLAND.
  • So we really have 5 defined Boroughs, Brooklyn being one of which, with the 6th being an NA or blank value.
  • Subsetting to Brooklyn gives us 223552 observations, reducing set of observations by over 75%

  • Explore facets of variables
    • Datetime
      • Time of day
      • Day of week
      • Day of month
      • Day or Month of year
  • Explore trends
    • Across time

2. Other Success (over time): Look for reductions in other burroughs over time and propose similar efforts.

Exploration

Subset to Brooklyn

Create subset of Brooklyn observations:

brooklyn <- filter(dt, BOROUGH == "BROOKLYN")

Look at CONTRIBUTING.FACTOR.*

fact.1 <- brooklyn %>%
  group_by(CONTRIBUTING.FACTOR.VEHICLE.1) %>%
  tally(sort = TRUE)
fact.1

Only 3 factor levels appear over 10,000 times in the brooklyn$CONTRIBUTING.FACTOR.VEHICLE.1 variable.

Distribution of CONTRIBUTING.FACTOR.VEHICLE.1

Explore quantile distribution of brooklyn$CONTRIBUTING.FACTOR.VEHICLE.1 variable then use cumulative distribution to calculate the probability / percentage of factor levels below 10,000 and 5,000:

quantile(fact.1$n)
    0%    25%    50%    75%   100% 
     3    105    515   1939 132682 
ecdf(fact.1$n)(10000)
[1] 0.9387755
ecdf(fact.1$n)(5000)
[1] 0.8979592

An expected majority of ecdf(fact.1$n)(10000) = 93.877551% are below 10,000 occurances.
Of interest is still nearly 90% below 5,000 which also provides us double the defined contributing factors (since the largest observation is listed as “Unspecified”)

Regression Analysis

Searching for important variables.
Mix multiple logical combinations of regressor variables against predictor variables of interest.

Predict BOROUGH

Attemp to create a linear model trained to predict the BOROUGH location of an observation:

model1formula <- BOROUGH ~ DATE + TIME + CONTRIBUTING.FACTOR.VEHICLE.1
## Breaks R Session - dt is almost 1M observations Too Much
# mod1 <- lm(model1formula, data = dt)

naive bayes

Graphical Exploration

Events per Borough

Start with a quick look at total events for each borough:

After removing the unmarked borough level “NONE GIVEN” we can see that Brooklyn has the greatest number of observed events in this dataset.

Does that make Brooklyn the most dangerous place to drive? Most leathal?
Things to consider:
- Size of Brooklyn (area and total length of roads)
- Number of drivers in Brooklyn (perhaps driving is more popular there than Manhattan)
- Average driver profile (professional Cab drivers in the city have different accident distributions than family drivers in Brooklyn)

Time of Day

Create a Bar chart for Accidents across hours of the day.
Modification to consider:
group by:
- Borough
- Contributing Factor
Scale by:
- Number of fatalities
- Number of injuries

---
title: "NYC Open Data Exploration"
output: html_notebook
---

# About

This notebook explores the more recent data from NYC Open Data [Data Set](https://data.cityofnewyork.us/Public-Safety/NYPD-Motor-Vehicle-Collisions/h9gi-nx95).

This dataset can also be reached and interacted with through its [Google BigQuery location](https://bigquery.cloud.google.com/table/bigquery-public-data:new_york.nypd_mv_collisions?tab=schema)

## Exercise Overview

For this exercise, we'd like you to analyze data on New York motor vehicle collisions and answer the following question:    
**What are your ideas for reducing accidents in Brooklyn?**   
Imagine you are preparing this presentation for the city council who will use it to inform new legislation and/or projects.

### TODO

Briefly:  

1. Inspect dataset  
2. Identify dependent / outcome variables  
3. iterate over:  
    a. hypothesize predictor variables  
    b. test  
    c. document & consider results  
  
      
- Setup   
    + [ ] Libraries (_continual_)  
    + [x] data  
- Understand
    + [x] structure  
    + [x] summary  
    + [ ] identify dependent variables  

## Setup

### Load Libraries

Libraries that will be used during exploration
```{r libraries, warning=FALSE}
library(magrittr)
library(dplyr)
library(ggplot2)
library(plotly)
Sys.setenv('MAPBOX_TOKEN' =
             'pk.eyJ1IjoiaXJqZXJhZCIsImEiOiJjajA4cWNkajkwMjRrMnFvNnlwMGFhZmM5In0.5PGU5SV2qdyix9tSEkjMgg')
```

### Load Data

Load data from /data directory and into memory
```{r import-data, cache=TRUE}
dt <- read.csv(file = "data/NYPD_Motor_Vehicle_Collisions.csv")
```

## Undertand Dataset

### Dataset Structure

Inspect structure of dataset with the `str()` command:
```{r data-structure}
str(dt)
```

### Dataset Summary

Inspect summary of dataset with `summary()` command:
```{r data-summary}
summary(dt)
```


### Dataset Variables

Our Dataset structure revealed the variables and their classes `sapply(names(dt), function(x) paste0(x, ' is class: ', class(dt[[x]])))`= `r sapply(names(dt), function(x) paste0('<br>','<b>',x,'</b>','<em>',' is class: ','</em>','<u>',class(dt[[x]]),'</u>'))`

### Clean Data

Change Unmarked Boroughs from NA to "NONE GIVEN"
```{r}
levels(dt$BOROUGH)[levels(dt$BOROUGH) == ""] <- "BOROUGH NA"
```

### Map Variables  

With Latitude and Longitude present and appearing to be fairly well documented, let's take a quick look at how these accidents look over an interactive world map (incase of mistakes outlying somewhere aside from New York). We will use the `BOROUGH` variable as a factor. This gives the geographic association of each borough and allows us early forsight into anything specific about our point of interest `BOURGH == "BROOKLYN"`
```{r map-vars, warning=FALSE}
mp <- dt %>% plot_mapbox(lat = ~LATITUDE, lon = ~LONGITUDE, split = ~BOROUGH, mode = 'scattermapbox')
plotly_build(mp)
```
Here we can see at least one marked as `BOROUGH == "QUEENS"` sitting on the equator at lat, long (0,0). It is safe to assume that observation along with others in the Atlantic or Pacific Ocean and anywhere else outside of New York have mislabeled coordinates.  
These would be candidates for quick removal to save time, or cleaning if coordinate location was important enough on these observations to our intended results.  


### Understanding Conclusion  

With a goal of _reducing accidents in Brooklyn_ our main goal is to reduce observations of accidents where `BOROUGH == "BROOKLYN"`.  

#### Proposed Solutions:  

- Explore facets of variables  
    + Datetime  
        + Time of day  
        + Day of week
        + Day of month
        + Day or Month of year
- Explore trends `group_by`  
    + Across time  
    + Across space
        + Burrough
        + Zip
        + Street Name (On, Cross, Off)
    + Across Vehicle Type


**1. Subset:**
If we look at the subset of the dataset where BOROUGH is "BROOKLYN" `brooklyn <- filter(dt, BOROUGH == "BROOKLYN")` we want to find patterns in the existing observations and propose methods to eliminate these patterns.     

- There are `length(levels(dt$BOROUGH))`: `r length(levels(dt$BOROUGH))` levels in the factor variable `BOROUGH`  
- Including `levels(dt$BOROUGH)`: `r levels(dt$BOROUGH)`.  
- So we really have 5 defined Boroughs, Brooklyn being one of which, with the 6th being an `NA` or blank value.  
- Subsetting to Brooklyn gives us 223552 observations, reducing set of observations by over 75%  

- Explore facets of variables  
    + Datetime  
        + Time of day  
        + Day of week
        + Day of month
        + Day or Month of year
- Explore trends  
    + Across time

**2. Other Success (_over time_):**
Look for reductions in other burroughs over time and propose similar efforts.



## Exploration

### Subset to Brooklyn

Create subset of Brooklyn observations:
```{r filter-brooklyn}
brooklyn <- filter(dt, BOROUGH == "BROOKLYN")
```

### Look at CONTRIBUTING.FACTOR.*

```{r fact-1}
fact.1 <- brooklyn %>%
  group_by(CONTRIBUTING.FACTOR.VEHICLE.1) %>%
  tally(sort = TRUE)
fact.1
```

Only 3 factor levels appear over 10,000 times in the `brooklyn$CONTRIBUTING.FACTOR.VEHICLE.1` variable.  


#### Distribution of CONTRIBUTING.FACTOR.VEHICLE.1    

Explore quantile distribution of `brooklyn$CONTRIBUTING.FACTOR.VEHICLE.1` variable then use cumulative distribution to calculate the probability / percentage of factor levels below 10,000 and 5,000:  
```{r fact-dist}
quantile(fact.1$n)
ecdf(fact.1$n)(10000)
ecdf(fact.1$n)(5000)
```

An expected majority of `ecdf(fact.1$n)(10000)` = `r ecdf(fact.1$n)(10000) * 100`% are below 10,000 occurances.  
Of interest is still nearly 90% below 5,000 which also provides us double the defined contributing factors (since the largest observation is listed as "Unspecified")  

## Regression Analysis  

Searching for important variables.  
Mix multiple logical combinations of regressor variables against predictor variables of interest.  

### Predict BOROUGH  

Attemp to create a linear model trained to predict the BOROUGH location of an observation:  
```{r}
model1formula <- BOROUGH ~ DATE + TIME + CONTRIBUTING.FACTOR.VEHICLE.1
## Breaks R Session - dt is almost 1M observations Too Much
# mod1 <- lm(model1formula, data = dt)
```

naive bayes
```{r bayes12}
# create formula from vehicles 1 and 2 factors and code
formula1.2 <- BOROUGH ~ CONTRIBUTING.FACTOR.VEHICLE.1 + 
  CONTRIBUTING.FACTOR.VEHICLE.2 + VEHICLE.TYPE.CODE.1 + VEHICLE.TYPE.CODE.2
one2bayes <- naiveBayes(formula1.2, data = dt, na.action = na.omit)
```

## Graphical Exploration

### Events per Borough

Start with a quick look at total events for each borough:
```{r hour-bar}
# create table with count of borough occurence
boroughCount <- dt %>% group_by(BOROUGH) %>% tally(sort = TRUE)

# plot bar chart of each Borough's event count
bCNT <- plot_ly(boroughCount, x = ~BOROUGH, y = ~n, type = 'bar')
# plot without None Given Borough
NObCNT <- plot_ly(boroughCount[2:6,], x = ~BOROUGH, y = ~n, type = 'bar')

# plot side-by-side
subplot(bCNT, NObCNT)
```
After removing the unmarked borough level "NONE GIVEN" we can see that Brooklyn has the greatest number of observed events in this dataset.  

Does that make Brooklyn the most dangerous place to drive? Most leathal?  
Things to consider:  
- Size of Brooklyn (area and total length of roads)  
- Number of drivers in Brooklyn (perhaps driving is more popular there than Manhattan)  
- Average driver profile (professional Cab drivers in the city have different accident distributions than family drivers in Brooklyn)  


### Time of Day  

Create a Bar chart for Accidents across hours of the day.  
Modification to consider:  
group by:  
- Borough  
- Contributing Factor  
Scale by:  
- Number of fatalities  
- Number of injuries  

